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Quantitative Aptitude

PERMUTATION AND COMBINATION MCQs

Permutations And Combinations

Total Questions : 444 | Page 9 of 45 pages
Question 81. The number of ways of arranging n students in a row such that no two boys sit together and no two girls sit together is m(m > 100). If one more student is added, then number of ways of arranging as above increases by 200%. The value of n is:
  1.    12
  2.    8
  3.    9
  4.    10
 Discuss Question
Answer: Option D. -> 10
Question 82. There are 10 seats around a circular table. If 8 men and 2 women have to seated around a circular table, such that no two women have to be separated by at least one man. If P and Q denote the respective number of ways of seating these people around a table when seats are numbered and unnumbered, then P : Q equals
  1.    9 : 1
  2.    72 : 1
  3.    10 : 1
  4.    8 : 1
 Discuss Question
Answer: Option C. -> 10 : 1
Question 83. How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4 if repetition of digits is allowed?
  1.    499
  2.    500
  3.    375
  4.    376
  5.    501
 Discuss Question
Answer: Option D. -> 376
Question 84. How many five digit positive integers that are divisible by 3 can be formed using the digits 0, 1, 2, 3, 4 and 5, without any of the digits getting repeated.
  1.    15
  2.    96
  3.    216
  4.    120
  5.    625
 Discuss Question
Answer: Option C. -> 216
Question 85. How many factors of 25 × 36 × 52 are perfect squares?
  1.    20
  2.    24
  3.    30
  4.    36
 Discuss Question
Answer: Option B. -> 24
Question 86. From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
  1.    564
  2.    645
  3.    735
  4.    756
  5.    None of these
 Discuss Question
Answer: Option D. -> 756
Question 87. In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
  1.    810
  2.    1440
  3.    2880
  4.    50400
  5.    5760
 Discuss Question
Answer: Option D. -> 50400
Question 88. In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
  1.    360
  2.    480
  3.    720
  4.    5040
  5.    None of these
 Discuss Question
Answer: Option C. -> 720
Question 89. In how many ways can the letters of the word 'LEADER' be arranged?
  1.    72
  2.    144
  3.    360
  4.    720
  5.    None of these
 Discuss Question
Answer: Option C. -> 360
Question 90. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
  1.    210
  2.    1050
  3.    25200
  4.    21400
  5.    None of these
 Discuss Question
Answer: Option C. -> 25200

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